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Finding the Fourth Proportional to 71,704.71, 98,948.42 and 39,872.93

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Solution

The fourth proportional to 71,704.71, 98,948.42 and 39,872.93 is: 55,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,704.71 : 98,948.42 = 39,872.93 : x
  2. Step 2: Convert to fraction form
    71,704.71/98,948.42 = 39,872.93/x
  3. Step 3: Cross multiply
    71,704.71x = 98,948.42 × 39,872.93
  4. Step 4: Simplify right side
    71,704.71x = 3,945,362,879.69
  5. Step 5: Solve for x
    x = 3,945,362,879.69/71,704.71
  6. Step 6: Final answer
    x = 55,022.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.